The function g(x) = 10x2 – 100x + 213 written in vertex form is g(x) = 10(x – 5)2 – 37. Which statements are true about g(x)? Select three options.

The axis of symmetry is the line x = –5.
The vertex of the graph is (5, –37).
The parabola has a minimum.
The parabola opens up.
The value of a, when the equation is written in vertex form, is negative.